{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Maximum cut problem on word2vec\n",
    "References:\n",
    "- https://en.wikipedia.org/wiki/Maximum_cut\n",
    "- https://qiita.com/s_zh/items/ecbd82ff9e440d9e522e"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--2020-09-12 10:41:13--  http://public.shiroyagi.s3.amazonaws.com/latest-ja-word2vec-gensim-model.zip\n",
      "Resolving public.shiroyagi.s3.amazonaws.com (public.shiroyagi.s3.amazonaws.com)... 52.219.1.5\n",
      "Connecting to public.shiroyagi.s3.amazonaws.com (public.shiroyagi.s3.amazonaws.com)|52.219.1.5|:80... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 132936751 (127M) [application/zip]\n",
      "Saving to: ‘latest-ja-word2vec-gensim-model.zip’\n",
      "\n",
      "latest-ja-word2vec- 100%[===================>] 126.78M  5.65MB/s    in 31s     \n",
      "\n",
      "2020-09-12 10:41:44 (4.13 MB/s) - ‘latest-ja-word2vec-gensim-model.zip’ saved [132936751/132936751]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Source: https://aial.shiroyagi.co.jp/2017/02/japanese-word2vec-model-builder/\n",
    "!mkdir data\n",
    "!wget -P data http://public.shiroyagi.s3.amazonaws.com/latest-ja-word2vec-gensim-model.zip"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Archive:  data/latest-ja-word2vec-gensim-model.zip\n",
      "  inflating: data/word2vec.gensim.model  \n",
      "  inflating: data/word2vec.gensim.model.syn1neg.npy  \n",
      "  inflating: data/word2vec.gensim.model.wv.syn0.npy  \n"
     ]
    }
   ],
   "source": [
    "!unzip -d data data/latest-ja-word2vec-gensim-model.zip"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gensim.models import word2vec\n",
    "\n",
    "model_file = 'data/word2vec.gensim.model'\n",
    "model = word2vec.Word2Vec.load(model_file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "wv = model.wv\n",
    "wv_words = wv.index2word\n",
    "\n",
    "word_list = ['易', '理論', '製図', '計算', 'CAD', '算盤', '数学', '測量', '算', '大工', '集大成', '手本', '関数', '模範', '算術', '暗算', '釈', '土木', 'コンピュータ']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "\n",
    "def init_graph(lst, edge_type='discrete'):\n",
    "    gph = nx.DiGraph()\n",
    "    for idx, x in enumerate(lst):\n",
    "        gph.add_node(idx)\n",
    "        for idy, y in enumerate(lst):\n",
    "            if edge_type == 'discrete' and y != x and wv.similarity(x, y) > 0.5:\n",
    "                gph.add_edge(idx, idy)\n",
    "    return gph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "word_graph = init_graph(word_list)\n",
    "\n",
    "nx.draw(word_graph, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import dwave_networkx as dnx\n",
    "from dwave.system import DWaveSampler, EmbeddingComposite\n",
    "\n",
    "\n",
    "sampler = EmbeddingComposite(DWaveSampler())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0, 2, 8, 10, 13, 14, 15, 16, 17, 18}\n",
      "10 ['易', '製図', '算', '集大成', '模範', '算術', '暗算', '釈', '土木', 'コンピュータ']\n"
     ]
    }
   ],
   "source": [
    "results = dnx.maximum_cut(word_graph, sampler)\n",
    "print(results)\n",
    "print(len(results), [word_list[i] for i in results])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "pos = nx.spring_layout(word_graph)\n",
    "nx.draw_networkx_nodes(word_graph, pos, node_size=400, nodelist=results, node_color='r')\n",
    "nx.draw_networkx_nodes(word_graph, pos, node_size=55, nodelist=range(0, 19), node_color='b')\n",
    "nx.draw_networkx_edges(word_graph, pos, alpha=1, width=3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
